Dexilant is another PPI. Just stopping acid doesn't necessarily stop reflux. There is no medication proven to stop reflux that I have heard of, and I've had it for over 30 years.
I ended up with a Nissen (actually a partial wrap called a Toupet) when my stomach was in my chest and the lower esophageal valve was stuck wide
Before the wreck that pushed my stomach, my reflux was triggered by eating certain foods. I took plenty of PPIs, and all they did was to make my reflux "non-acid." From keeping a food log and noting when I had symptoms I found that I am sensitive to foods containing sulfites. I was able to control the refluxing by avoiding my food triggers/sensitivities/intolerances.
The point is acid is not necessarily the cause of reflux, stopping it will not necessarily cure it, and you can have reflux caused by something else.